Tangent Line Properties

What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?

• y+1=2(x+1)

• y=2x-1

• y=2x+2

• y= -x-1

Write the equation of the tangent line of the given equation through the point.

• y+2=9(x-3)

• y - 2 = 9(x-3)

• y - 2 = 3(x -3)

• y-2 = 9(x-3)

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

If f '(x) = 0, what does that mean with respect to the tangent line?

• Tangent line is vertical

• Tangent line has a positive slope

• Tangent line is horizontal

• Tangent line has a negative slope

What is the equation of the line normal to f(x)=5x⁵-2x  at x =-1?

• y+3=23(x+1)
• y+3=-1/23 (x+1)
• y-7=-1/23 (x+1)
• y-7=-27(x+1)

which of the following means "second derivative"

• f''(x)
• y''
• d²y/dx
• all of the above

The normal to the curve is 

• the derivative
• the integral
• perpendicular to the tangent  to the curve
• the tangent to the curve